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Finding the Third Proportional to 7,761,240 and 16,326,836

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Solution

The third proportional to 7,761,240 and 16,326,836 is: 34,345,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761,240 : 16,326,836 = 16,326,836 : x
  2. Step 2: Convert to fraction form
    7,761,240/16,326,836 = 16,326,836/x
  3. Step 3: Cross multiply
    7,761,240x = 16,326,836 × 16,326,836
  4. Step 4: Simplify right side
    7,761,240x = 266,565,573,770,896
  5. Step 5: Solve for x
    x = 266,565,573,770,896/7,761,240
  6. Step 6: Final answer
    x = 34,345,745.50

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.